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Finding the Fourth Proportional to 953.26, 1,315.49 and 533.60

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Solution

The fourth proportional to 953.26, 1,315.49 and 533.60 is: 736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.26 : 1,315.49 = 533.60 : x
  2. Step 2: Convert to fraction form
    953.26/1,315.49 = 533.60/x
  3. Step 3: Cross multiply
    953.26x = 1,315.49 × 533.60
  4. Step 4: Simplify right side
    953.26x = 701,946.08
  5. Step 5: Solve for x
    x = 701,946.08/953.26
  6. Step 6: Final answer
    x = 736.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.